Continuous-time envelope-constrained filter design via Laguerre filters and H∞ optimization methods

Envelope-constrained filtering is concerned with the design of a time-invariant filter to process a given input signal such that the noiseless output of the filter is guaranteed to lie within a prespecified output mask. In this paper, using Laguerre filters and H _∞ optimization techniques, the continuous-time envelope-constrained filter design problem has been reformulated and solved as a constrained H_∞ model-matching problem. To illustrate the effectiveness of the design method, a numerical example is presented which deals with the design of an equalization filter for a digital transmission channel